7002546 7002546
  • 16-08-2018
  • Mathematics
contestada

Solve the equation without the use of a calculator. please Help!!! Thank you!!!
4x^4+15x=12x^3+5x^2

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konrad509
konrad509 konrad509
  • 16-08-2018

[tex] 4x^4+15x=12x^3+5x^2 \\
4x^4-12x^3-5x^2+15x=0\\
x(4x^3-12x^2-5x+15)=0\\
x(4x^2(x-3)-5(x-3))=0\\
x(4x^2-5)(x-3)=0\\
x(2x-\sqrt5)(2x+\sqrt5)(x-3)=0\\
x=0 \vee x=\dfrac{\sqrt5}{2} \vee x=-\dfrac{\sqrt5}{2} \vee x=3 [/tex]

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